Gyroelongated bicupola

Set of gyroelongated bicupolae

Example pentagonal form
Faces 6n triangles
2n squares
2 n-gon
Edges 16n
Vertices 6n
Symmetry group Dn, [n,2]+, (n22)
Rotation group Dn, [n,2]+, (n22)
Properties convex, chiral

In geometry, the gyroelongated bicupolae are an infinite sets of polyhedra, constructed by adjoining two n-gonal cupolas to an n-gonal Antiprism. The triangular, square, and pentagonal gyroelongated bicupola are three of five Johnson solids which are chiral, meaning that they have a "left-handed" and a "right-handed" form.

Adjoining two triangular prisms to a cube also generates a polyhedron, but has adjacent parallel faces, so is not a Johnson solid. The hexagonal form is also a polygon, but has coplanar faces. Higher forms can be constructed without regular faces.

Image cw Image ccw Name Faces
Gyroelongated digonal bicupola 4 triangles, 4 squares
Gyroelongated triangular bicupola (J44) 6+2 triangles, 6 squares
Gyroelongated square bicupola (J45) 8 triangles, 8+2 squares
Gyroelongated pentagonal bicupola (J46) 30 triangles, 10 squares, 2 pentagon
Gyroelongated hexagonal bicupola 12 triangles, 24 squares, 2 hexagon

See also

References


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